What value of g would make the following expressions equivalent?%0D%0A%0D%0A−3(x−4)+2 and −3x+14−g

1 answer

To make the two expressions equivalent, we should distribute the -3 into the parentheses in the first expression and then compare the results to the second expression to solve for g. Here's how:

First expression:
-3(x - 4) + 2

Distribute the -3:
-3 * x + (-3) * (-4) + 2
-3x + 12 + 2
Combine like terms:
-3x + 14

Second expression:
-3x + 14 - g

Now that we have expanded the first expression, we can directly compare it to the second one:

-3x + 14 (from the first expression)
-3x + 14 - g (from the second expression)

Since the expressions are to be made equivalent, the terms that don't involve g must be the same. We see that the -3x and the +14 terms are already matching in both expressions. Therefore, to maintain equivalence, the value of g must be such that it does not disturb this equality. This means that g must be 0 because:

-3x + 14 - 0 = -3x + 14

Hence, the value of g that would make the expressions equivalent is 0.
Similar Questions
    1. answers icon 7 answers
    1. answers icon 3 answers
  1. Click to show whether each statement is true or false.A:The expressions 9(3x−1/3) and 27x−3 are equivalent. B:The
    1. answers icon 1 answer
  2. Fill in the blanks!Is -0.58x + 2.27 equivalent to 7.037 - 1.798x / 3.1 ? Use _ to evaluate the expressions. Let x = 0. _ = 2.27
    1. answers icon 3 answers
more similar questions